TSTP Solution File: GEO562+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:33:00 EDT 2023
% Result : Theorem 0.17s 0.73s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 30
% Syntax : Number of formulae : 139 ( 34 unt; 0 def)
% Number of atoms : 317 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 287 ( 109 ~; 106 |; 41 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-4 aty)
% Number of variables : 595 ( 57 sgn; 312 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD8) ).
fof(exemplo6GDDFULL214023,conjecture,
! [X1,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',exemplo6GDDFULL214023) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD5) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD39) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD14) ).
fof(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD41) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD17) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD11) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD68) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD64) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD20) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p',ruleD22) ).
fof(c_0_30,plain,
! [X53,X54,X55,X56,X57,X58] :
( ~ perp(X53,X54,X55,X56)
| ~ perp(X55,X56,X57,X58)
| para(X53,X54,X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X495,X496,X497,X498] :
( ~ circle(X498,X495,X496,X497)
| perp(esk12_4(X495,X496,X497,X498),X495,X495,X498) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X49,X50,X51,X52] :
( ~ perp(X49,X50,X51,X52)
| perp(X51,X52,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X3,X4,X8,X2,X7,X5,X6,X13,X19,X20] :
( ( circle(X8,X1,X3,X4)
& perp(X3,X8,X1,X2)
& circle(X8,X1,X2,X19)
& coll(X7,X3,X8)
& coll(X7,X1,X2)
& circle(X8,X1,X5,X20)
& coll(X6,X1,X2)
& coll(X6,X3,X4)
& coll(X13,X1,X2)
& coll(X13,X3,X5) )
=> eqangle(X1,X13,X13,X3,X3,X4,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214023]) ).
cnf(c_0_37,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& perp(esk22_0,esk24_0,esk21_0,esk25_0)
& circle(esk24_0,esk21_0,esk25_0,esk30_0)
& coll(esk26_0,esk22_0,esk24_0)
& coll(esk26_0,esk21_0,esk25_0)
& circle(esk24_0,esk21_0,esk27_0,esk31_0)
& coll(esk28_0,esk21_0,esk25_0)
& coll(esk28_0,esk22_0,esk23_0)
& coll(esk29_0,esk21_0,esk25_0)
& coll(esk29_0,esk22_0,esk27_0)
& ~ eqangle(esk21_0,esk29_0,esk29_0,esk22_0,esk22_0,esk23_0,esk23_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X31,X32,X33,X34] :
( ~ para(X31,X32,X33,X34)
| para(X31,X32,X34,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109] :
( ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109)
| eqangle(X104,X105,X102,X103,X108,X109,X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_44,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ para(X256,X257,X258,X259)
| eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_45,plain,
! [X35,X36,X37,X38] :
( ~ para(X35,X36,X37,X38)
| para(X37,X38,X35,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_48,plain,
! [X250,X251,X252,X253,X254,X255] :
( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
| para(X250,X251,X252,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_49,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X385,X386,X387] :
( ~ para(X385,X386,X385,X387)
| coll(X385,X386,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_55]) ).
fof(c_0_59,plain,
! [X24,X25,X26] :
( ~ coll(X24,X25,X26)
| coll(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_60,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X21,X22,X23] :
( ~ coll(X21,X22,X23)
| coll(X21,X23,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_63,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_65,plain,
! [X270,X271,X272,X273] :
( ~ eqangle(X272,X270,X272,X271,X273,X270,X273,X271)
| ~ coll(X272,X273,X271)
| cyclic(X270,X271,X272,X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_66,plain,
! [X27,X28,X29,X30] :
( ~ coll(X27,X28,X29)
| ~ coll(X27,X28,X30)
| coll(X29,X30,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_67,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X81,X82,X83,X84] :
( ~ cyclic(X81,X82,X83,X84)
| cyclic(X81,X83,X82,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_73,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_50]) ).
cnf(c_0_74,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
fof(c_0_75,plain,
! [X77,X78,X79,X80] :
( ~ cyclic(X77,X78,X79,X80)
| cyclic(X77,X78,X80,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_76,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_61])]),c_0_74])]) ).
fof(c_0_78,plain,
! [X311,X312,X313,X314,X315] :
( ~ circle(X314,X311,X312,X313)
| ~ coll(X315,X312,X313)
| ~ eqangle(X311,X312,X311,X313,X314,X312,X314,X315)
| midp(X315,X312,X313) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_79,plain,
! [X262,X263,X264,X265] :
( ~ cyclic(X262,X263,X264,X265)
| eqangle(X264,X262,X264,X263,X265,X262,X265,X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_80,plain,
! [X85,X86,X87,X88] :
( ~ cyclic(X85,X86,X87,X88)
| cyclic(X86,X85,X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_81,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_83,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_84,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_85,plain,
! [X89,X90,X91,X92,X93] :
( ~ cyclic(X89,X90,X91,X92)
| ~ cyclic(X89,X90,X91,X93)
| cyclic(X90,X91,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_86,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_88,plain,
! [X285,X286,X287,X288,X289] :
( ~ midp(X288,X285,X286)
| ~ para(X288,X289,X286,X287)
| ~ coll(X289,X285,X287)
| midp(X289,X285,X287) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_91,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_93,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_68])]) ).
cnf(c_0_94,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_91])]) ).
cnf(c_0_95,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_74])]) ).
cnf(c_0_96,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_97,negated_conjecture,
circle(esk24_0,esk21_0,esk27_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_98,plain,
! [X65,X66,X67] :
( ~ midp(X67,X66,X65)
| midp(X67,X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_61]) ).
cnf(c_0_100,negated_conjecture,
midp(esk31_0,esk27_0,esk31_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_101,plain,
! [X411,X412,X413,X414,X415,X416,X417,X418] :
( ~ eqangle(X411,X412,X413,X414,X415,X416,X417,X418)
| ~ para(X415,X416,X417,X418)
| para(X411,X412,X413,X414) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_102,plain,
! [X290,X291,X292] :
( ~ cong(X292,X290,X292,X291)
| eqangle(X292,X290,X290,X291,X290,X291,X292,X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_103,plain,
! [X391,X392,X393] :
( ~ midp(X391,X392,X393)
| cong(X391,X392,X391,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,plain,
! [X375,X376,X377,X378,X379] :
( ~ midp(X379,X375,X376)
| ~ para(X375,X377,X376,X378)
| ~ para(X375,X378,X376,X377)
| midp(X379,X377,X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X1,X1,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_61])]) ).
cnf(c_0_114,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_115,negated_conjecture,
( midp(X1,X2,esk27_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_61]),c_0_61])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_115,c_0_105]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_99,c_0_118]) ).
fof(c_0_120,plain,
! [X280,X281,X282,X283,X284] :
( ~ midp(X283,X280,X281)
| ~ midp(X284,X280,X282)
| para(X283,X284,X281,X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_121,negated_conjecture,
midp(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_119])]) ).
fof(c_0_122,plain,
! [X110,X111,X112,X113,X114,X115,X116,X117] :
( ~ eqangle(X110,X111,X112,X113,X114,X115,X116,X117)
| eqangle(X114,X115,X116,X117,X110,X111,X112,X113) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_123,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_124,negated_conjecture,
midp(X1,esk27_0,X2),
inference(spm,[status(thm)],[c_0_104,c_0_121]) ).
cnf(c_0_125,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_126,plain,
! [X118,X119,X120,X121,X122,X123,X124,X125] :
( ~ eqangle(X118,X119,X120,X121,X122,X123,X124,X125)
| eqangle(X118,X119,X122,X123,X120,X121,X124,X125) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).
cnf(c_0_128,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_50]) ).
fof(c_0_129,plain,
! [X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137] :
( ~ eqangle(X126,X127,X128,X129,X130,X131,X132,X133)
| ~ eqangle(X130,X131,X132,X133,X134,X135,X136,X137)
| eqangle(X126,X127,X128,X129,X134,X135,X136,X137) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_130,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_127])]) ).
cnf(c_0_132,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_127])]) ).
cnf(c_0_133,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_130,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
~ eqangle(esk21_0,esk29_0,esk29_0,esk22_0,esk22_0,esk23_0,esk23_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_137,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).
cnf(c_0_138,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 07:16:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.47 Running first-order theorem proving
% 0.17/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.fNKNQdlHDl/E---3.1_3319.p
% 0.17/0.73 # Version: 3.1pre001
% 0.17/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.73 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.73 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.73 # Starting sh5l with 300s (1) cores
% 0.17/0.73 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3401 completed with status 0
% 0.17/0.73 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.73 # No SInE strategy applied
% 0.17/0.73 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/0.73 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/0.73 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.73 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.73 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.73 # Starting sh5l with 136s (1) cores
% 0.17/0.73 # SAT001_MinMin_p005000_rr_RG with pid 3406 completed with status 0
% 0.17/0.73 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.73 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.73 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.73 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.73 # No SInE strategy applied
% 0.17/0.73 # Search class: FGUSF-FFLM33-SFFFFFNN
% 0.17/0.73 # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 0.17/0.73 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.73 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.73 # Preprocessing time : 0.004 s
% 0.17/0.73 # Presaturation interreduction done
% 0.17/0.73
% 0.17/0.73 # Proof found!
% 0.17/0.73 # SZS status Theorem
% 0.17/0.73 # SZS output start CNFRefutation
% See solution above
% 0.17/0.73 # Parsed axioms : 95
% 0.17/0.73 # Removed by relevancy pruning/SinE : 0
% 0.17/0.73 # Initial clauses : 124
% 0.17/0.73 # Removed in clause preprocessing : 0
% 0.17/0.73 # Initial clauses in saturation : 124
% 0.17/0.73 # Processed clauses : 3377
% 0.17/0.73 # ...of these trivial : 473
% 0.17/0.73 # ...subsumed : 84
% 0.17/0.73 # ...remaining for further processing : 2820
% 0.17/0.73 # Other redundant clauses eliminated : 0
% 0.17/0.73 # Clauses deleted for lack of memory : 0
% 0.17/0.73 # Backward-subsumed : 14
% 0.17/0.73 # Backward-rewritten : 2657
% 0.17/0.73 # Generated clauses : 19767
% 0.17/0.73 # ...of the previous two non-redundant : 10102
% 0.17/0.73 # ...aggressively subsumed : 0
% 0.17/0.73 # Contextual simplify-reflections : 15
% 0.17/0.73 # Paramodulations : 19767
% 0.17/0.73 # Factorizations : 0
% 0.17/0.73 # NegExts : 0
% 0.17/0.73 # Equation resolutions : 0
% 0.17/0.73 # Total rewrite steps : 13919
% 0.17/0.73 # Propositional unsat checks : 0
% 0.17/0.73 # Propositional check models : 0
% 0.17/0.73 # Propositional check unsatisfiable : 0
% 0.17/0.73 # Propositional clauses : 0
% 0.17/0.73 # Propositional clauses after purity: 0
% 0.17/0.73 # Propositional unsat core size : 0
% 0.17/0.73 # Propositional preprocessing time : 0.000
% 0.17/0.73 # Propositional encoding time : 0.000
% 0.17/0.73 # Propositional solver time : 0.000
% 0.17/0.73 # Success case prop preproc time : 0.000
% 0.17/0.73 # Success case prop encoding time : 0.000
% 0.17/0.73 # Success case prop solver time : 0.000
% 0.17/0.73 # Current number of processed clauses : 26
% 0.17/0.73 # Positive orientable unit clauses : 12
% 0.17/0.73 # Positive unorientable unit clauses: 0
% 0.17/0.73 # Negative unit clauses : 0
% 0.17/0.73 # Non-unit-clauses : 14
% 0.17/0.73 # Current number of unprocessed clauses: 5549
% 0.17/0.73 # ...number of literals in the above : 19195
% 0.17/0.73 # Current number of archived formulas : 0
% 0.17/0.73 # Current number of archived clauses : 2794
% 0.17/0.73 # Clause-clause subsumption calls (NU) : 114564
% 0.17/0.73 # Rec. Clause-clause subsumption calls : 99581
% 0.17/0.73 # Non-unit clause-clause subsumptions : 113
% 0.17/0.73 # Unit Clause-clause subsumption calls : 90690
% 0.17/0.73 # Rewrite failures with RHS unbound : 0
% 0.17/0.73 # BW rewrite match attempts : 15230
% 0.17/0.73 # BW rewrite match successes : 2019
% 0.17/0.73 # Condensation attempts : 0
% 0.17/0.73 # Condensation successes : 0
% 0.17/0.73 # Termbank termtop insertions : 212373
% 0.17/0.73
% 0.17/0.73 # -------------------------------------------------
% 0.17/0.73 # User time : 0.228 s
% 0.17/0.73 # System time : 0.008 s
% 0.17/0.73 # Total time : 0.236 s
% 0.17/0.73 # Maximum resident set size: 2572 pages
% 0.17/0.73
% 0.17/0.73 # -------------------------------------------------
% 0.17/0.73 # User time : 1.126 s
% 0.17/0.73 # System time : 0.030 s
% 0.17/0.73 # Total time : 1.155 s
% 0.17/0.73 # Maximum resident set size: 1876 pages
% 0.17/0.73 % E---3.1 exiting
% 0.17/0.73 % E---3.1 exiting
%------------------------------------------------------------------------------